Blanking Busy Beaver Function: Difference between revisions

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(→‎Champions: Added champions)
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==Champions==
==Champions==
{| class="wikitable"
|+
!'''2 Symbols:'''
!Steps
!Champions
|-
|BLB(1)
|inexistent
|inexistent
|-
|BLB(2)
|<math>\geq 8</math><ref name=":3">Nick Drozd. "[https://nickdrozd.github.io/2021/02/14/blanking-beavers.html Blanking Beavers]". Accessed 15 August 2025.</ref>
|{{TM|1RB0RA_1LB1LA}}
|-
|BLB(3)
|<math>\geq 34</math><ref name=":4">Nick Drozd. "[https://nickdrozd.github.io/2022/02/11/latest-beeping-busy-beaver-results.html Latest Beeping Busy Beaver Results]". Accessed 15 August 2025.</ref>
|{{TM|1RB1LB_1LA1LC_1RC0LC}}
|-
|BLB(4)
|<math>\geq 32\,779\,477</math>
|{{TM|1RB1LD_1RC1RB_1LC1LA_0RC0RD}}
|}
{| class="wikitable"
|+
!'''3 Symbols:'''
!Steps
!Champions
|-
|BLB(1,3)
|inexistent
|inexistent
|-
|BLB(2,3)
|<math>\geq 77</math><ref name=":4" />
|{{TM|1RB2LA0RB_1LA0LB1RA}}
|}
{| class="wikitable"
|+
!'''4 Symbols:'''
!Steps
!Champions
|-
|BLB(1,4)
|inexistent
|inexistent
|-
|BLB(2,4)
|<math>\geq 1\,367\,361\,263\,049</math><ref name=":4" />
|{{TM|1RB2RA1RA2RB_2LB3LA0RB0RA}}
|}


[[Category:Functions]]
[[Category:Functions]]

Revision as of 19:57, 27 August 2025

The Blanking Busy Beaver Function (BLB(n,m)) is a Busy Beaver Function which measures the largest amount of steps done by any Turing machine with n states and m symbols before blanking the tape. Blanking Busy Beaver machines are allowed to be halting or non-halting.

Champions

2 Symbols: Steps Champions
BLB(1) inexistent inexistent
BLB(2) [1] 1RB0RA_1LB1LA (bbch)
BLB(3) [2] 1RB1LB_1LA1LC_1RC0LC (bbch)
BLB(4) 1RB1LD_1RC1RB_1LC1LA_0RC0RD (bbch)
3 Symbols: Steps Champions
BLB(1,3) inexistent inexistent
BLB(2,3) [2] 1RB2LA0RB_1LA0LB1RA (bbch)
4 Symbols: Steps Champions
BLB(1,4) inexistent inexistent
BLB(2,4) [2] 1RB2RA1RA2RB_2LB3LA0RB0RA (bbch)
  1. Nick Drozd. "Blanking Beavers". Accessed 15 August 2025.
  2. 2.0 2.1 2.2 Nick Drozd. "Latest Beeping Busy Beaver Results". Accessed 15 August 2025.